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What is the altitude of an equilateral triangle if one side is 12 cm?
Wiki User
∙ 13y ago
If one side of an equilateral triangle is 12 cm, then all sides are 12 cm and all angles are 60 degrees. An altitude dropped from any vertex in an equilateral triangle bisects the base, creating two identical Pythagorean triple triangles. Using our old friend the Pythagorean theorem we can calculate the altitude (= height) as follows"
a2 + b2 = c
62 + b2 = 122
36 + b2 = 144
b2 = 108
b = 10.3923 cm.
Wiki User
∙ 13y ago
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What is the length of the altitude of the equilateral triangle?
The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.
The perimeter of an equilateral triangle is 32centimeters find the length of an altitude of the triagle to the nearest tenth of a centimeter?
Since an equilateral triangle has three congruent sides (and 3 congruent angles, each of 60⁰), the length of each side is 32/3 cm. If we draw one of the altitudes of the triangle, then a right triangle is formed where the side of a triangle is the hypotenuse, and the altitude is opposite to a 60 degrees angle. So we have, sin 60⁰ = altitude/(32/3 cm) (multiply by 32/3 cm to both sides) (32/3 cm)sin 60⁰ = altitude 9.2 cm = altitude
How do you find the height of an equalateral triangle?
To find the altitude or height of an equilateral triangle, take one-half of the length of a side of the triangle and multiple by "square root" of 3. So, if for example, the side has length 10, the height = 5 Square root of 3.
The perimeter of an equilateral triangle is 63m what is the measure of one side of the triangle?
An equilateral triangle has three sides of the same length. Therefore, the length of each side of an equilateral triangle with a perimeter of 63 metres is equal to 63/3 = 21 metres.
One side of an equilateral triangle measures 6cm Find the measures of an altitude of a triangle?
drop a line from the vertex to the bottom line of the triangle you get a right angle triangle with side 6, 3 and x where x is the altitude of the triangle 6^2=3^2+x^2 use pythagoreus theorem 36=9+x^2 x=sqrt 27=3sqrt3=5.196cm
The lenght of one side of an equilateral triangle is 10 cm find the altitude of the triangle?
The triangle's altitude is 8.7 (8.66025) cm.
What is the altitude of an equilateral triangle if one side is 12?
There is not enough information to answer the question.
What is the length of the altitude of the equilateral triangle?
The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.
What is the length of the altitude of an equilateral triangle with sides of length 6?
The altitude forms a right angle triangle with half the side length and one side as the hypotenuse. Using Pythagoras: (½side)² + altitude² = side² → altitude² = side² - ¼side² → altitude² = ¾side² → altitude = (√3)/2 × side → altitude = (√3)/2 × 6 = 3√3 ≈ 5.2
What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
Find The altitude of an equilateral triangle if one of its sides measures 12cm?
Altitude = 10.4 (10.3923) cm
The perimeter of an equilateral triangle is 32centimeters find the length of an altitude of the triagle to the nearest tenth of a centimeter?
Since an equilateral triangle has three congruent sides (and 3 congruent angles, each of 60⁰), the length of each side is 32/3 cm. If we draw one of the altitudes of the triangle, then a right triangle is formed where the side of a triangle is the hypotenuse, and the altitude is opposite to a 60 degrees angle. So we have, sin 60⁰ = altitude/(32/3 cm) (multiply by 32/3 cm to both sides) (32/3 cm)sin 60⁰ = altitude 9.2 cm = altitude
Find the length of the altitude of an equilateral triangle if one side has a length of 6cm?
Side = 6 cm 1/2 of the base = 3 cm Altitude = 3 times square-root of 3 = 5.196 cm (rounded)
How many symmetric line has the triangle?
The number of lines of symmetry of a triangle depends on what triangle you are talking about. An equilateral triangle has three lines of symmetry (one corresponding to each altitude). An isosceles triangle (that is not equilateral) has one line of symmetry. Other triangles have none.
The length of one side of an equilateral triangle is 11 Find the length of the altitude?
each angle is 60 degrees. If you know trigonometry sin 60 = Altitude/length of side (from Pythagoras) A = 9.526 inch Or, from Pythagoras theorem 5.5 squared + Altitude squared = 11 squared Altitude = 9.526
Is an isosceles triangle sometimes always or never equilateral?
An isosceles triangle is one that has two sides of the same length and one side different An equilateral triangle is one that has all of its sides of equal length. All of the angles on an equilateral triangle are 60 degrees. A triangle with two sides 4cm and one side 100m would be an isosceles. But an equilateral triangle has all of the sides exactly the same so therefore an isosceles triangle can never ever be an equilateral triangle
The length of an equilateral triangle is 66 what it the length of one side of the triangle?
10
